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230912 = 291141
BaseRepresentation
bin111000011000000000
3102201202022
4320120000
524342122
64541012
71651133
oct703000
9381668
10230912
11148540
12b1768
1381146
146021a
1548642
hex38600

230912 has 40 divisors (see below), whose sum is σ = 515592. Its totient is φ = 102400.

The previous prime is 230891. The next prime is 230929. The reversal of 230912 is 219032.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5612 + ... + 5652.

2230912 is an apocalyptic number.

230912 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257796).

230912 is an abundant number, since it is smaller than the sum of its proper divisors (284680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230912 is an equidigital number, since it uses as much as digits as its factorization.

230912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 230912 is about 480.5330373658. The cubic root of 230912 is about 61.3501319246.

Adding to 230912 its reverse (219032), we get a palindrome (449944).

The spelling of 230912 in words is "two hundred thirty thousand, nine hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 128 164 176 256 328 352 451 512 656 704 902 1312 1408 1804 2624 2816 3608 5248 5632 7216 10496 14432 20992 28864 57728 115456 230912